1283376900 has 144 divisors (see below), whose sum is σ = 4036894400. Its totient is φ = 312906240.

The previous prime is 1283376889. The next prime is 1283376911. The reversal of 1283376900 is 96733821.

It is an interprime number because it is at equal distance from previous prime (1283376889) and next prime (1283376911).

It is a super-2 number, since 2×1283376900² = 3294112534907220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423591 + ... + 426609.

Almost surely, 2^1283376900 is an apocalyptic number.

1283376900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1283376900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018447200).

1283376900 is an abundant number, since it is smaller than the sum of its proper divisors (2753517500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1283376900 is a wasteful number, since it uses less digits than its factorization.

1283376900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 1283376900 is about 35824.2501666120. The cubic root of 1283376900 is about 1086.7210328645.

The spelling of 1283376900 in words is "one billion, two hundred eighty-three million, three hundred seventy-six thousand, nine hundred".